A sporting equipment company makes three different types of balls: soccer balls, basketballs, and cork balls. Respectively, their production times are 3, 4, and 3.5 hours for each. The quality of the balls is tested using any one of the two procedures, P1 and P2. Once the product is tested, it is sent to packaging. Procedure P1 requires 1.5, 2, and 3.5 hours for each soccer ball, basketball, and cork ball respectively. Procedure P2 requires 3, 1.6, and 2 hours for each type of ball respectively. The total available production time for the next month is 300 hours. Available times for procedure P1 is 175 hours, and procedure P2 is 195 hours. Unit profit for each soccer ball, basketball, and cork ball is $9, $ 6, $7 respectively. What is the maximum profit?
A sporting equipment company makes three different types of balls: soccer balls, basketballs, and cork balls. Respectively, their production times are 3, 4, and 3.5 hours for each. The quality of the balls is tested using any one of the two procedures, P1 and P2. Once the product is tested, it is sent to packaging. Procedure P1 requires 1.5, 2, and 3.5 hours for each soccer ball, basketball, and cork ball respectively. Procedure P2 requires 3, 1.6, and 2 hours for each type of ball respectively. The total available production time for the next month is 300 hours. Available times for procedure P1 is 175 hours, and procedure P2 is 195 hours. Unit profit for each soccer ball, basketball, and cork ball is $9, $ 6, $7 respectively.
What is the maximum profit?
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